Given are five observations for two variables, and y. Excel File: data14-25.xlsx xi Yi 0.9726 2 7 The estimated regression equation is ý = 7.6 +0.9x. a. What is the value of the standard error of the estimate (to 4 decimals)? 6 9 18 9 26 13 20 23

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 22PFA
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Given are five observations for two variables, and y.
Excel File: data14-25.xlsx
The estimated regression equation is ŷ = 7.6 +0.9x.
a. What is the value of the standard error of the estimate (to 4 decimals)?
0.9726
b. Test for a significant relationship by using the t test. Use a = 0.05.
What is the value of the t test statistic (to 2 decimals)?
1.90
What is the p-value? Use Table 2 of Appendix B.
between 0.10 and 0.20
What is your conclusion (a = 0.05)?
Xj
Yi
Cannot conclude a significant relationship exists between x and y
c. Use the F test to test for a significant relationship. Use a = 0.05.
Compute the value of the F test statistic (to 2 decimals).
3.63
What is the p-value? Use Table 4 of Appendix B.
greater than 0.10
What is your conclusion?
Cannot conclude a significant relationship exists between x and y
2
7
6
18
9 13
9
20
26 23
Transcribed Image Text:Given are five observations for two variables, and y. Excel File: data14-25.xlsx The estimated regression equation is ŷ = 7.6 +0.9x. a. What is the value of the standard error of the estimate (to 4 decimals)? 0.9726 b. Test for a significant relationship by using the t test. Use a = 0.05. What is the value of the t test statistic (to 2 decimals)? 1.90 What is the p-value? Use Table 2 of Appendix B. between 0.10 and 0.20 What is your conclusion (a = 0.05)? Xj Yi Cannot conclude a significant relationship exists between x and y c. Use the F test to test for a significant relationship. Use a = 0.05. Compute the value of the F test statistic (to 2 decimals). 3.63 What is the p-value? Use Table 4 of Appendix B. greater than 0.10 What is your conclusion? Cannot conclude a significant relationship exists between x and y 2 7 6 18 9 13 9 20 26 23
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